00309 - Introduction to Groups, Invariants and Particles [Firk].pdf

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Introduction
to
Groups, Invariants
and
Particles
Frank W. K. Firk, Professor Emeritus of Physics, Yale University
2000
ii
iii
CONTENTS
Preface
1. Introduction
2. Galois Groups
3. Some Algebraic Invariants
4. Some Invariants of Physics
5. Groups
−
Concrete and Abstract
6. Lie’s Differential Equation, Infinitesimal Rotations,
and Angular Momentum Operators
7. Lie’s Continuous Transformation Groups
8. Properties of n-Variable, r-Parameter Lie Groups
9. Matrix Representations of Groups
10. Some Lie Groups of Transformations
11. The Group Structure of Lorentz Transformations
12. Isospin
13. Groups and the Structure of Matter
14. Lie Groups and the Conservation Laws of the Physical Universe
15. Bibliography
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